ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and Fran├žois-Xavier Coudert at CNRS / Chimie ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the website URL.

ELATE is open source software. Any queries or comments are welcome at

Summary of the properties

Input: stiffness matrix (coefficients in GPa) of Ag2F (Materials Project id mp-1391)

        95       43       63        8        0        0  
        43       95       63       -8        0        0  
        63       63      190        0        0        0  
         8       -8        0       18        0        0  
         0        0        0        0       18        8  
         0        0        0        0        8       26  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 79.778 GPaEV = 71.494 GPaGV = 26.467 GPaνV = 0.35064
ReussKR = 68.729 GPaER = 55.917 GPaGR = 20.491 GPaνR = 0.3644
HillKH = 74.254 GPaEH = 63.721 GPaGH = 23.479 GPaνH = 0.35697

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
13.056 GPa 14.579 GPa 30.944 GPa 55.421 GPa 71.188 GPa 256.81 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 36.881 GPa 132.48 GPa 0.65638 TPa–1 6.9467 TPa–1 13.056 GPa 35.621 GPa-0.0272120.85615Value
Anisotropy 3.592 10.5833 2.728Anisotropy
Axis 0.7175
0.4142
-0.5601
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
-0.0000
0.5257
-0.8507
0.5256
0.3035
0.7948
-0.5270
0.3043
0.7935
-0.4118
0.2375
0.8798
Axis
-1.0000
-0.0000
-0.0000
-0.6883
-0.3974
0.6069
-0.5000
-0.8660
0.0000
-0.7617
0.4402
-0.4754
Second axis

Spatial dependence of Young's modulus



Young's modulus in (xy) plane

Young's modulus in (xz) plane

Young's modulus in (yz) plane

Spatial dependence of linear compressibility



linear compressibility in (xy) plane

linear compressibility in (xz) plane

linear compressibility in (yz) plane

Spatial dependence of shear modulus



Shear modulus in (xy) plane

Shear modulus in (xz) plane

Shear modulus in (yz) plane

Spatial dependence of Poisson's ratio



Poisson's ratio in (xy) plane

Poisson's ratio in (xz) plane

Poisson's ratio in (yz) plane